10427626250000 has 80 divisors (see below), whose sum is σ = 25254345700272. Its totient is φ = 4171050000000.

The previous prime is 10427626249991. The next prime is 10427626250011. The reversal of 10427626250000 is 5262672401.

It can be written as a sum of positive squares in 8 ways, for example, as 8396294388496 + 2031331861504 = 2897636^2 + 1425248^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2921051 + ... + 5421050.

Almost surely, 2^{10427626250000} is an apocalyptic number.

10427626250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10427626250000 is an abundant number, since it is smaller than the sum of its proper divisors (14826719450272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10427626250000 is an frugal number, since it uses more digits than its factorization.

10427626250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342144 (or 8342108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10427626250000 in words is "ten trillion, four hundred twenty-seven billion, six hundred twenty-six million, two hundred fifty thousand".